363229272 has 80 divisors (see below), whose sum is σ = 1162732560. Its totient is φ = 103778496.

The previous prime is 363229267. The next prime is 363229277. The reversal of 363229272 is 272922363.

363229272 is a `hidden beast` number, since 363 + 2 + 29 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (363229267) and next prime (363229277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363229277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35503 + ... + 44574.

It is an arithmetic number, because the mean of its divisors is an integer number (14534157).

Almost surely, 2^363229272 is an apocalyptic number.

It is an amenable number.

363229272 is an abundant number, since it is smaller than the sum of its proper divisors (799503288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363229272 is a wasteful number, since it uses less digits than its factorization.

363229272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80102 (or 80089 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 363229272 is about 19058.5747630824. The cubic root of 363229272 is about 713.4994019462.

The spelling of 363229272 in words is "three hundred sixty-three million, two hundred twenty-nine thousand, two hundred seventy-two".